Finding the Third Proportional to 121,849 and 181,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,849 : 181,762.50 = 181,762.50 : x
2. Step 2: Convert to fraction form
   121,849/181,762.50 = 181,762.50/x
3. Step 3: Cross multiply
   121,849x = 181,762.50 × 181,762.50
4. Step 4: Simplify right side
   121,849x = 33,037,606,406.25
5. Step 5: Solve for x
   x = 33,037,606,406.25/121,849
6. Step 6: Final answer
   x = 271,135.64